Tree and 1-loop fundamental BCJ relations from soft theorems
Abstract We provide a new derivation of the fundamental BCJ relation among double-color-ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to 1-loop Feynman integrands. We also use the fundamen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11698-2 |
| _version_ | 1797689127671431168 |
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| author | Fang-Stars Wei Kang Zhou |
| author_facet | Fang-Stars Wei Kang Zhou |
| author_sort | Fang-Stars Wei |
| collection | DOAJ |
| description | Abstract We provide a new derivation of the fundamental BCJ relation among double-color-ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to 1-loop Feynman integrands. We also use the fundamental BCJ relation to understand Adler’s zero for tree amplitudes of the nonlinear sigma model and Born–Infeld theory. |
| first_indexed | 2024-03-12T01:41:31Z |
| format | Article |
| id | doaj.art-749f114f292148b3952eb0a950141530 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-12T01:41:31Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-749f114f292148b3952eb0a9501415302023-09-10T11:23:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-07-0183711210.1140/epjc/s10052-023-11698-2Tree and 1-loop fundamental BCJ relations from soft theoremsFang-Stars Wei0Kang Zhou1Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract We provide a new derivation of the fundamental BCJ relation among double-color-ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to 1-loop Feynman integrands. We also use the fundamental BCJ relation to understand Adler’s zero for tree amplitudes of the nonlinear sigma model and Born–Infeld theory.https://doi.org/10.1140/epjc/s10052-023-11698-2 |
| spellingShingle | Fang-Stars Wei Kang Zhou Tree and 1-loop fundamental BCJ relations from soft theorems European Physical Journal C: Particles and Fields |
| title | Tree and 1-loop fundamental BCJ relations from soft theorems |
| title_full | Tree and 1-loop fundamental BCJ relations from soft theorems |
| title_fullStr | Tree and 1-loop fundamental BCJ relations from soft theorems |
| title_full_unstemmed | Tree and 1-loop fundamental BCJ relations from soft theorems |
| title_short | Tree and 1-loop fundamental BCJ relations from soft theorems |
| title_sort | tree and 1 loop fundamental bcj relations from soft theorems |
| url | https://doi.org/10.1140/epjc/s10052-023-11698-2 |
| work_keys_str_mv | AT fangstarswei treeand1loopfundamentalbcjrelationsfromsofttheorems AT kangzhou treeand1loopfundamentalbcjrelationsfromsofttheorems |